Research Output List 2003-04

Dept of Mathematics





Scholarly books, monographs and chapters

Ching W.K., Ng K.P. and Fung S.L., Higher-order Hidden Markov Models with Applications to DNA Sequences, IDEAL, Lecture Notes in Computer Science. Springer, 2003, 535-539. (Publication No. : 88727)

Hwang J. and Mok N., Deformation rigidity of the 20-dimensional F4-homogeneous space associated to a short root, In: V.L. Popov, Algebraic Transformation Groups and Algebraic Varieties. Berlin-Heidelberg-New York, Springer-Verlag, 2004, 37-58. (Publication No. : 88820)

Lai T.L., Limit Theorems for Moving Averages, Probability, Finance and Insurance. Singapore, World Scientific, 2004, 1-14. (Publication No. : 89195)

Siu M.K., Learning and teaching of analysis in the mid 20th century: A semi-personal observation, In: D. Coray, F. Furinghetti, H. Gispert, B.R. Hodgson, G. Schubring, One Hundred Years of L'Enseignement Mathématique: Moments of Mathematics Education in the Twentieth Century. Genève, L'Enseignement Mathématique, 2003, 179-190. (Publication No. : 85608)

Yu J., Shpilrain V. and Mikhalev A.A., Combinatorial Methods: Free groups, Polynomials, and Free Algebras. New York, Springer-Verlag, 2003, 312 pages. (Publication No. : 85609)


Journal publications

Bai Z., Golub G.H. and Ng K.P., Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems, SIAM Journal on Matrix Analysis and Applications. 2003, 24: 603-626. (Publication No. : 89442)

Bai Z. and Ng K.P., Preconditioners for Nonsymmetric Block-Toeplitz-Like-Plus-Diagonal Linear System , Numer. Math.. 2003, 96: 197-220. (Publication No. : 89441)

Bertaccini D. and Ng K.P., Band-Toeplitz Preconditioned GMRES Iterations for Time-dependent PDEs, BIT. 2003, 43: 901-914. (Publication No. : 89445)

Bertaccini D. and Ng K.P., Omega-Circulant Preconditioners for Time-Dependent Integrators, CALCOLO. 2003, 40: 71-90. (Publication No. : 89440)

Chan P.K., Ching W.K. and Yung S.P., Optimal Strategies in Equity Securities and Derivatives, Journal of Applied Mathematics and Computations. 2004, 151: 615-643. (Publication No. : 88733)

Chan Y.L., Ching W.K., Ng K.P. and Huang J.Z., An Optimization Algorithm for Clustering Using Weighted Dissimilarity Measures, Pattern Recognition. 2004, 37: 943-952. (Publication No. : 88731)

Chen B., Deng X.T. and Zang W., On-line Scheduling a Batch Processing System to Minimize Total Weighted Job Completion Time, Journal of Combinatorial Optimization. MA, USA, Kluwer Academic Publishers, 2004, 8: 85-95. (Publication No. : 88803)

Cheung W.S., Some Discrete Nonlinear Inequalities and Applications to Boundary Value Problems for Difference Equations, Journal of Difference Equations and Applications. 2004, 10, No.2: 213-223. (Publication No. : 88939)

Cheung W.S., Wong B. and Yau S.S.T., Some Remarks on the Local Moduli of Tangent Bundles over Complex Surfaces, American Journal of Mathematics. 2003, 125: 1029-1035. (Publication No. : 85061)

Ching W.K. and Ng K.P., Building Simple Hidden Markov Models, International Journal of Mathematical Education in Science and Engineering. 2004, 35: 295-299. (Publication No. : 88732)

Ching W.K., Ng K.P. and Wong K.K., Hidden Markov Models and Its Applications to Customer Relationship Management, IMA Journal of Management Mathematics. 2004, 15: 13-24. (Publication No. : 88734)

Ching W.K., Fung S.L. and Ng K.P., Higher-order Markov Chain Models for Categorical Data Sequences, International Journal of Naval Research Logistics. 2004, 51: 557-574. (Publication No. : 88735)

Ching W.K., Iterative Methods for Queuing Systems with Batch Arrivals and Negative Customers, BIT. 2003, 43: 285-296. (Publication No. : 88728)

Ching W.K., Scholtes S. and Zhang S., Numerical Algorithms for Estimating Traffic Between Zones in a Network, Engineering Optimisation. 2004, 36: 379-400. (Publication No. : 88736)

Ching W.K., Chung S.K. and Ng T.W., On Modeling SARS in Hong Kong, International Journal of Applied Mathematics. 2003, 13, no.1: 1-7. (Publication No. : 88757)

Feng D.X., Xu G. and Yung S.P., Riesz Basis Property of the Generalized Eigenvector System of A Timoshenko Beam, IMA Journal of Control and Information. 2004, 21, Issue 1: 65-83. (Publication No. : 88945)

Guo H., Zheng J. and Ng T.W., On a new singular direction of meromorphic functions, Bulletin of the Australian Mathematical Society. 2004, 69, no.2: 277-287. (Publication No. : 88759)

Ho K.F., Beling C.D., Fung S.H.Y., Cheng V.K.W., Ng K.P. and Yip A.M., Deconvolution of positron annihilation coincidence Doppler broadening spectra using an iterative projected Newton method with non-negativity constraints, Review of Scientific Instruments. New York, American Institute of Physics, 2003, 74: 4779-4787. (Publication No. : 84954)

Ho K.F., Ching A.H.M., Cheng V.K.W., Beling C.D., Fung S.H.Y. and Ng K.P., Optimized coincidence Doppler broadening spectroscopy using deconvolution algorithms, Materials Science Forum. Switzerland, Trans Tech Publications, 2004, 445-446: 477-479. (Publication No. : 85727)

Ho K.F., Ching A.H.M., Beling C.D., Fung S.H.Y., Ng K.P., Biasini M., Ferro G. and Gong M., Positron-electron autocorrelation function study of E-center in silicon, Journal of Applied Physics. New York, American Institute of Physics, 2003, 94: 5549-5555. (Publication No. : 84965)

Huang Z. and Ng K.P., A Note on K-Modes Clustering, Journal of Classification. 2003, 20: 257-261. (Publication No. : 89446)

Hwang J. and Mok N., Automorphism groups of the spaces of minimal rational curves on Fano manifolds of Picard Number 1, Journal of Algebraic Geometry. University Press, Inc., 2004, 13: 663-673. (Publication No. : 88818)

Lau Y.K., An estimate for symmetric square L-functions on weight aspect, Archiv der Mathematik. Springer, 2003, 81: 169-174. (Publication No. : 88754)

Lau Y.K., On the error term in an asymptotic formula for the symmetric square L-function, Proceedings of the American Mathematical Society. 2004, 132: 317-323. (Publication No. : 88753)

Li Y. and Zang W., The Independence Number of Graphs with a Forbidden Cycle and Ramsey Numbers, Journal of Combinatorial Optimization. MA, USA, Kluwer Academic Publishers, 2003, 7: 353-359. (Publication No. : 88799)

Lin F., Ching W.K. and Ng K.P., Discrete Wavelet Transforms for Toeplitz Matrices, Linear Algebra and Its Applications. 2003, 370: 269-285. (Publication No. : 88755)

Lin F. and Ng K.P., Super-Resolution Image Reconstruction with Estimation of Low-Resolution Frames, International Journal of Applied Mathematics. 2003, 13: 84-99. (Publication No. : 89448)

Liu G. and Zang W., f-Factors in Bipartite (mf)-Graphs, Discrete Applied Mathematics. Amsterdam, Netherlands, North-Holland, 2004, 136: 45-54. (Publication No. : 88804)

Liu M.C., Cochrane T. and Zheng Z., Upper bound on n-dimensional Kloosterman sums, Journal of Number Theory. 2004, 106: 259-274. (Publication No. : 87404)

Mok N., Extremal bounded holomorphic functions and an embedding theorem for arithmetic varieties of rank ³ 2, Inventiones Mathematicae. Berlin-Heidelberg-New York, Springer-Verlag, 2004, 101: 31 pages. (Publication No. : 88821)

Mok N., Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups, Contemporary Mathematics. Providence, Rhode Island, USA, American Mathematical Society, 2003, 332: 219-234. (Publication No. : 88819)

Ng K.P., Circulant and Skew-Circulant Splitting Methods for Toeplitz Systems, Journal of Computational Applied Math.. 2003, 159: 101-108. (Publication No. : 89444)

Ng K.P., Qin X. and Sun H., Recursive-Based PCG Methods for Toeplitz Systems with Nonnegative Generating Functions, SIAM Journal on Scientific Computing. 2003, 24: 1507-1529. (Publication No. : 89443)

Ng K.P., Ching W.K., Sze N.K. and Yau C.K., Super-resolution Image Reconstruction from Blurred Observation by Multisensor, International Journal of Imaging Systems and Technology. 2003, 13: 153-160. (Publication No. : 88729)

Ng T.W., Turinici G. and Danchin A., A Double Epidemic Model for the SARS Propagation, BMC Infections Diseases. 2003, 3:19: 16 pages. (Publication No. : 88758)

Ng T.W., Smale's mean value conjecture for odd polynomials, Journal of the Australian Mathematical Society. 2003, 75, no.3: 409-411. (Publication No. : 88756)

Sun X., Moduli spaces of SL(r)-bundles on singular irreducible curves, Asian Journal of Mathematics. 2003, 7: 609-626. (Publication No. : 88762)

Wang J., Xu G. and Yung S.P., Exponential Stability of Variable Coefficients Rayleigh Beams under Boundary Feedback Controls, Systems and Control Letters. 2004, 51/1: 33-50. (Publication No. : 88946)

Xu G. and Yung S.P., Stabilization of Timoshenko Beam by Means of Pointwise Controls, ESAIM: Control, Optimisation and Calculus of Variations. 2003, 9: 579-600. (Publication No. : 88943)

Yip Y.L., Ng K.P. and Cheung D.W.L., A Review on Projected Clustering Algorithms, International Journal of Applied Mathematics. 2003, 13: 24-35. (Publication No. : 89447)

Yu J. and Shpilrain V., Birational morphisms of the plane, Proc. Amer. Math. Soc. 2004, 132, no.9: 2511-2515. (Publication No. : 89501)

Yu J., Makar-Limanov L., van Rossum P. and Shpilrain V., The stable equivalence and cancellation problems, Commentarii Mathematici Helvetici. 2004, 79, no.2: 341-349. (Publication No. : 89504)

Yu J. and Umirbayev U., The strong Nagata conjecture, Proc. Natl. Acad. Sci. USA. 2004, 101, no.13: 4352-4355. (Publication No. : 89502)


Conference papers

Ching W.K., Ng K.P. and Wong K.K., Higher-order Markov Decision Process and Its Applications in Customer Lifetime Values, The 32nd International Conference on Computers and Industrial Engineering. Limerick, Ireland, 2003, 2: 821-826. (Publication No. : 88730)

Chu S.C.K., Generating Shift Crew-Duties, Proceedings of the 6th International Conference on Multi Objective Programming and Goal Programming (MOPGP'04). Hammamet, Tunisia, 2004, 12pp. (Publication No. : 88674)

Chu S.C.K., Optimization Modeling of Fixed-Length Duties, Proceedings of the 32nd International Conference on Computers and Industrial Engineering. Limerick, Ireland, 2003, 737-742. (Publication No. : 88673)

Foth P. and Lu J., Poisson structures on flad manifolds associated to real forms, Comptes Rendus des Rencontres Mathmatiques de Glanon. Glanon, France, 2003, 8 pages. (Publication No. : 90477)

Lam E.Y.M. and Ng K.P., Restoration of images with optical aberrations and quantization in a transform domain, Computational Imaging II. 2004, 5299: 93-100. (Publication No. : 88834)

Ng K.P., Clustering problems using tabu search techniques, Recent development in theories & numerics. World Sci. Publishing, River Edge, NJ, 2003, 364-373. (Publication No. : 97979)

Ngan Y.T., Pang G.K.H., Ng K.P. and Yung S.P., Defect Detection on Patterned Jacquard Fabrics, IEEE International Workshop on 32nd Applied Imagery Pattern Recognition, 15-17 Oct, 2003. 163-168. (Publication No. : 88944)


All other outputs

Cheung W.S., Reviewer of Zentralblatt Math. V.1059, No. 26025. 2003, 1059, No.26025. (Publication No. : 114863)

Deng X.T., Li G., Zang W. and Zhou Y., A 2-Approximation Algorithm for Path Coloring on a Restricted Class of Trees of Rings, Journal of Algorithms. CA, USA, Elsevier, 2003, 47: 1-13. (Publication No. : 88802)


Editorship, Invited lectures and keynote speeches

Cheung W.S., Characterization of Bounded Convex Domains with a Hermitian Metric with Constant Negative Holomorphic Sectional Curvature, International Congress of Mathematicians - Southeast Asian Mathematical Conference, Yunnan, China, 12/2003. Yunnan, China. (Publication No. : 100197)

Cheung W.S., Editor of Australian Journal of Mathematical Analysis and Applications. 2004. (Publication No. : 97900)

Cheung W.S., Editor of Journal of Inequalities in Pure and Applied Mathematics. 2004. (Publication No. : 97902)

Cheung W.S., Some Discrete Nonlinear Inequalities and Applications to Boundary Value Problems, 8th International Conference on Difference Equations and Applications, Brno, Czech Republic, 7/2003. Brno, Czech Republic. (Publication No. : 100198)

Ching W.K., Models and Algorithms for Re-manufacturing Systems, Workshop on Numerical Algebra and Scientific Computing, The Institute of Computational Mathematics and Scientific/Engineering Computing and Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China. 2003. (Publication No. : 104522)

Chu S.C.K., Associate editor of the IMA Journal of Management Mathematics. 2003. (Publication No. : 88672)

Lai T.L., Yang H. and Yung S.P., Probability, Finance and Insurance, Proceeding of a Workshop at the University of Hong Kong . Singapore, World Scientific, 2004. (Publication No. : 88744)

Lu J., Editor of Pacific Journal of Mathematics. 2004. (Publication No. : 90479)

Mok N., Editor of Inventiones Mathematicae. Berlin-Heidelberg-New York, Springer-Verlag, 2003. (Publication No. : 88864)

Mok N., Editor of Mathematische Annalen. Berlin-Heidelberg-New York, Springer-Verlag, 2003. (Publication No. : 88822)

Ng T.W., A Double Epidemic Model for SARS Propagation, 2004 American Mathematical Society Annual Meeting. 2004. (Publication No. : 104842)

Ng T.W., A Double Epidemic Model for SARS Propagation, SARS Mini-workshop, HKUST. 2004. (Publication No. : 104960)

Ng T.W., A Double Epidemic Model for SARS Propagation, Seminar on Public Health and Sustainable Development, The Sustainable Development Unit of the SAR government . 2004. (Publication No. : 105595)

Ng T.W., Permutable entire functions and their Julia sets, Recent Developments in Several Complex Variables, Cauchy-Riemann Geometry and Complex Algebraic Geometry,HKU. 2003. (Publication No. : 104882)

Ng T.W., Random iterations of analytic maps , 2004 American Mathematical Society Annual Meeting, Phoenix, Arizona. 2004. (Publication No. : 104835)

Wang J., Xu G. and Yung S.P., A Design of Robust Feedback Control for Flexible Robotic Mechanisms, 9th IEEE International Conference on Methods and Models in Automation and Robotics. 2003. (Publication No. : 111472)

Yu J., Editor of International Journal of Mathematics: Game Theory and Algebra. 2004. (Publication No. : 85610)

Yung S.P., On the Riesz-Basis-Property of Control Problems, Workshop on Control Theory and Its Applications. 2003. (Publication No. : 111473)



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